Environmental transfer parameters of strontium for soil to cow milk pathway for tropical monsoonal climatic region of the Indian subcontinent

The radionuclide transfer between compartments is commonly described by transfer parameters representing the ratio of concentrations of an element in two compartments for equilibrium conditions. This is a comprehensive study on the soil-to-grass transfer factor (Fv) and grass-to-cow milk transfer coefficient (Fm) for stable strontium (Sr) for soil-grass (pasture)-cow (Bos taurus) milk environmental pathway under field conditions for a high rainfall tropical monsoonal climatic region of the Indian subcontinent. The study was conducted in the vicinity of the Kaiga nuclear power plant (NPP), situated ~ 58 km inland of the West Coast of the Indian subcontinent. A grass field was developed exclusively for this study, and two cows of the native breed were raised to graze on it. The soil, grass, and milk were analyzed to evaluate the Fv and the Fm values for the stable Sr. For comparison, several pasture lands and the cows raised by the villagers and a dairy farm were also studied. The Fv values were in the range 0.18—8.6, the geometric mean (GM) being 1.8. The correlations of Fv values with a range of physicochemical parameters are presented. The GM values for Fm were 2.2 × 10–3 d L-1 and 7.2 × 10–3 d L-1 for the two cows raised for this study, 2.6 × 10–3 d L-1 for those raised by the villagers, and 4.2 × 10–3 d L-1 for the dairy farm. The site-specific Fm value for the region was determined as 3.2 × 10–3 d L-1. The concentration ratio (CR), defined as the ratio of Sr concentration in milk to that in feed under equilibrium conditions, exhibited less variability (1.8 × 10–2—5.4 × 10–2) among the three categories of cows.

and the concentration of competing element calcium in the soil and within the plant tissue. The uptake of Sr by plants depends on the soil calcium content, with higher uptake occurring in the soils with low calcium content 8 . In ruminants, the stable element status can affect the behaviour of a radionuclide analogue within the body; for example, the transfer of radiostrontium to milk declines as calcium intake increases.
Among different environmental transfer pathways which transfer radioactivity from the source of release to the population, the grass-cattle-milk-human pathway is important since anthropogenic radioisotopes of iodine (I), cesium (Cs), and Sr are transferred relatively quickly through it. For example, research has indicated that among agricultural products, cow (Bos taurus) milk and meat were the most significant contributors to ingestion dose in the Chernobyl-affected regions 9 . In addition, milk constitutes a significant component of the human diet; it is a staple food for infants and children. The radionuclide transfer between compartments is commonly described by transfer parameters representing the ratio of concentrations of an element in two compartments for equilibrium conditions. For example, the soil-to-grass transfer factor (F v ) and grass-to-cattle milk transfer coefficient (F m ) are defined by the following equations 10-13 : For evaluating F v and F m for stable elements using the above equations, the concentration is expressed in mg kg -1 (dry mass) for the plant (or plant compartment) and the soil, whereas in mg L -1 (fresh mass) for milk.
The IAEA Modelling and Data for Radiological Impact Assessments (MODARIA II) programme (2016-2019) has led to the publication of IAEA TECDOC-1979 38 listing revised F v and F m datasets for different elements. This document has collated data on F v for radionuclides and stable elements in non-temperate environments (arid and tropical regions), and from a comparison of the data, it was concluded that crops grown in tropical environments have higher F v values when compared to temperate and arid environments. Subsequently, a special issue of the Journal of Environmental Radioactivity (edited by Iurian 39 ) was dedicated to supplementing the MODARIA II outcome. In this special issue, Doering 40 has compiled data on F v exclusively for the tropical regions from nearly 100 source references covering 36 elements, including data for radionuclides and stable isotopes for a variety of cereals, rice, vegetables, tubers, fruits, root crops, grass, tree leaves, herbs, etc. The geographical coverage included 21 countries of tropical regions spread across four continents (Africa, Asia, Australia, and South America). Similarly, Rout 41,42 has reviewed F v data published for terrestrial plants and rice of the Indian subcontinent. It is imperative to note from these reviews that in comparison to a large number of publications for the temperate regions, only 10 publications have reported F v data for 90 Sr or stable Sr for food crops and plants 30,[43][44][45][46][47][48][49][50][51] , and only one publication 45 reported data for grass for the tropical environment.
Similarly, MODARIA II has also led to the publication of the IAEA TECDOC-1950 52 , effecting substantial revision to F m datasets for cow milk published previously by the IAEA 10,11 . From 118 data points, a mean value of 1.5 × 10 -3 d kg -1 (range: 1.5 × 10 -5 -4.3 × 10 -3 ) was arrived at for the Sr F m for cow milk, with most of the data coming from temperate regions. Earlier, Howard 12 published revised Cs, I, and Sr F m datasets for cow milk from the MODARIA II and have listed (i) the publications which were considered in IAEA TRS 472 10 and (ii) those added or removed from it for establishing the revised datasets subsequently given in the IAEA TECDOC-1950 52 . Tagami 13 reported a comprehensive review on the soil-to-animal transfer factors for the tropical climatic regions and opinioned that information available on radioecology of tropical plant and animal species is very little when compared to those of temperate regions. These authors have also commented that much of the soil-to-animal databases reviewed and listed in their publication for the tropical environment are related to Australian data 53 , which came from "grey literature sources not generally available to the broader scientific community" 13 . Our observation is that the above-referred review publications and the IAEA documents do not list F m data for Sr for cow milk for tropical regions.
Therefore, generating experimental databases through site-specific studies in the vicinity of nuclear facilities in the tropical climatic region is essential for accurate dose assessments. Maria and Florou 54 have concluded that climatic types may be linked to the transfer of radionuclides from soil to grass. Tropical soils are more strongly weathered, have less nutrients, and are often significantly different from temperate regions; hence, plant uptake characteristics in such soils are different. In addition, higher rainfall and temperature in tropical regions lead to faster leaching of elements from the soil profile resulting in reduced bioaccumulation due to poor bio-accessibility 13 . Also, the F m is influenced by the dry matter intake (DMI) of the animal, the milk yield, body mass, breed type, etc. 12,23,55 . Large differences in these parameters have been reported for tropical and temperate regions; for example, the dairy farm cows of temperate regions have high milk yield (generally ~ 30 L d -1 ) due to improvement in animal breeding 12 , and DMI is up to 40 kg d -156 with a guidance value of 16 kg d -110, 57 . The milk yield and DMI depend on the live weight; for a cow with a 770 kg live weight and milk yield of 30 L d -1 , the DMI was estimated to be 24.5 kg d -112 . On the other hand, the live weight of the native breed cows in villages in the tropical region (such as the Indian subcontinent) is significantly less and often yields < 3 L d -1 milk and is supplemented with negligible nutrient feed 35,58 . Establishing a database for such animals is also essential because, as Activity concentration in grass Bq kg −1 , dry mass Activity concentration in soil Bq kg −1 , dry mass F m d L −1 = Activity concentration in milk Bq L −1 , fresh mass Activity concentration in feed Bq kg −1 , dry mass × Feed intake kg d −1 , dry mass demonstrated in our previous publication, the F m for 137 Cs was an order of magnitude greater for these animals when compared to high milk-yielding dairy farm animals 35 .
With the objective of establishing a site-specific database on F v and F m for different radionuclides and stable elements for a tropical high rainfall region for accurate radiation dose assessment, a detailed study was initiated by the Centre for Advanced Research in Environmental Radioactivity (CARER) in the year 2010 in the vicinity of pressurized heavy water (PHWR) NPP located at ~ 58 km east of the West Coast of India. This NPP site is characterised by unique topographical and monsoonal climatic conditions, as explained in the following section. The findings of the study on I and Cs F v and F m values for this NPP site were reported in our previous publications [34][35][36][37]58,59 , and the data on Cs F v and F m have been listed in the IAEA documents 38,52 . In addition, an extensive database on soil-to-rice plant F v for naturally occurring radionuclides and 137 Cs for this NPP site were published 36 . Now, we report the determination of site-specific data for F v and F m for stable Sr for the soil-tograss-to-cow milk pathway for equilibrium situations. The dominant wind direction is south-westerly and westerly during the south-west monsoon and summer seasons and north-easterly during winter. The tropical monsoon brings an annual rainfall between 4000-5000 mm y -1 . Relative humidity at Kaiga varies from 17.7 to 99.9%, and ambient temperature varies from 13.3 to 41.0℃ 30 . The soil is of lateritic origin and dark brown 3,35,62 . The population density in the villages is very low. Figure 1a-c, respectively, present the map of the Kaiga region, an enlarged view of the 32 km radius region of the NPP, and the wind rose diagram.

Materials and methods
Grass fields for the study. A grass field of size ~ 2800 sq. m was developed as an experimental field at an aerial distance of ~ 6 km (Kuchegar, 14º52′2.5" N, 74º22′41.1" E) from the NPP (Fig. 1b). This field was open land, and Pennisetum purpureum (Schum.) (known as napier grass), used as forage on the dairy farm, was planted and allowed to grow naturally 3,59 . For a comparative study, nine pasture lands in the neighbouring villages and a grass field maintained by a dairy farm at ~ 12 km (Mallapura, 14˚54ʹ05.6ʺ N, 74˚19ʹ56.9ʺ E) from the NPP were chosen. The predominant grass species in the pasture lands in the villages was Ischaemum indicum (Houtt.). The grass in all the fields was grown without applying any external fertilizers.
Cows for collecting milk samples. Three categories of cows were identified for collecting milk samples.
They are (i) the two cows raised for this study (from now on, referred to as cow 1 and cow 2), (ii) cows raised by the villagers and grazed in pasture lands, and (iii) cows of the dairy farm. The cows raised exclusively for this study were "Malnad gidda", a breed native to the region. The typical attributes of this breed are (i) small to medium in size, (ii) good resistance against pests and diseases, (iii) yield less milk (maximum yield ~ 4 L d -1 , but often yield < 1.5 L d -1 ), and (iv) graze in hilly regions. Generally, these cattle are fed with minimal supplement feed; their dietary requirements are met through grazing in the pasture lands 35,58 .
Cow 1 and cow 2 were maintained with a similar feeding pattern as that followed by the villagers. The body mass of cow 1 was 400 kg, and cow 2 was 225 kg. They grazed in the experimental grass field. Raising the two cows exclusively for this study allowed the determination of the site-specific database on DMI (kg d -1 ) and the milk yield (L d -1 ). The milk yield of these animals was ~ 2 L d -1 in the early lactation period and < 1 L d -1 in the later stages, with cow 2 yielding significantly less milk when compared to cow 1. To ensure the availability of an adequate volume of milk for the analysis, cow 1 and cow 2 were fed with 1 kg d -1 of supplement feed (groundnut silage). The dairy farm cattle were high milk yielding Holstein Friesian breed, with a typical yield of 12-15 L d -1 . To achieve a commercially viable milk yield, these cattle are fed with a substantial quantity of nutritious supplement feed 35 . Sample collection and preparation for measurements. Soil was sampled at 0-10 cm horizon in the grass fields since this depth represents the root zone 57,63 . The green leafy portion of the grass above a few cm from the surface of the soil was sampled 35 . Within a grass field, 8-10 subsamples of these matrices were collected at different points. A composite sample of each of these matrices (~ 2 kg each) was obtained by thoroughly mixing several subsamples collected within a grass field. Samples of milk from the three categories of cows were collected periodically. The sampling campaign was for two years duration. The samples of the supplement feed were also collected for analysis. A total of 95 soil samples, 95 grass, 4 supplementary feed, and 59 milk samples were collected for this study.
The procedure followed for processing the samples was discussed in an earlier publication 35 , and they are prescribed in EML 64 and the IAEA 63 documents. In the case of soil, a subsample was set aside to determine physicochemical parameters. The remaining portion was dried at a constant temperature of 105 °C for 24 h to remove water content completely. The grass and milk samples were dried at 105 °C, charred over a low flame, and ashed at 450 °C in a muffle furnace. Finally, the accurately weighed mass (0.5-0.7 g) of a processed sample was subjected to chemical digestion in a microwave-based sample digestion system (ETHOS™, closed vessel type, Milestone, Italy) to get a clear solution and taken for the determination of Sr concentration 35 www.nature.com/scientificreports/ The physicochemical parameters determined for the soil samples and methods employed were: (i) pH by 1:2 soil-water system and using a glass electrode pH meter, (ii) conductivity by 1:2 soil-water system and a using platinum dip type conductivity cell, (iii) organic matter content by loss of mass due to ignition at 450 °C, (iv) cation exchange capacity (CEC) by sodium exchange capacity method, and (v) particle sizes by hydrometer method 66 .  In the initial stages of the present study, 12 milk samples were analyzed for the 90 Sr following the method described in IAEA 63 , which involved the radiochemical separation of 90 Sr, allowing for the ingrowth of 90 Y, and counting the activity in a low background counting system. The activity in all these samples was < 0.1 Bq kg -1 . Therefore, we have used stable Sr to determine the F v and F m . Since the radioisotopes and their counterparts follow the same pathway, it can be used to estimate the transfer of 90 Sr in food chains 70 . Furthermore, stable isotopes were widely used as analogues to estimate the transfer of radionuclides because of diminishing inventories of some of the radionuclides 40 . The concentration of stable Sr in µg kg -1 levels could be measured by analytical techniques such as atomic absorption spectrometry (AAS) or inductively coupled plasma mass spectrometry (ICP-MS).
In this study, the Sr concentration in the digested samples was determined using an AAS (GF-300Plus, graphite furnace with PAL-3000 automatic sampler, GBC, Australia), which offers a minimum detection level (MDL) of 0.004 μg mL -1 at a 95% confidence level. The instrument was calibrated using Sr standards (MERCK, Germany), and the IAEA reference materials (IAEA Soil 7, IAEA-153 milk powder) were used for quality assurance in the measurements. Type-I ultrapure water, conforming to the American Society for Testing and Materials (ASTM), was used for sample processing. The Ca concentration in the digested soil samples was determined by AAS (with flame oxidizer) in the same way 71 .

Calculation of F v and F m values.
The F v value was evaluated from the Sr concentrations in soil and grass using the following relation 10,35 : where, C g and C s are the Sr concentrations (mg kg -1 , dry mass) in grass and soil, respectively.
The F m (d L -1 ) value was calculated from the following relation 10,35 : where, C m is the Sr concentration in the milk (mg L -1 , fresh mass), C f is the Sr concentration in the feed (mg kg -1 , dry mass), and I f is the DMI (kg d -1 , dry mass). The denominator in Eq. (4) is the ingestion rate of the element (mg d -1 ), and it was arrived at by considering the concentrations of Sr in grass and supplement feed.

Determination of DMI.
Establishing the F m value necessitates using the site-specific data on DMI by the cattle. This information was obtained through a demography survey conducted during 2008 -2013 in the vicinity of the NPP 35,58 . In this programme, 186 cows from 106 households of 12 villages were surveyed in the vicinity of the NPP to generate a database on the intake of water, DMI (supplement feed, grass and forage) and milk yield through feedback obtained from the questionnaires and in-situ measurements 35,58 . Although this survey was performed during 2008-2013, the database on fodder regime is expected to be valid even now due to minimal change in the animal rearing practices in the region. In addition to this, measurements based on stall-feeding were conducted to determine the grass intake by the cattle 35,58 . In these experiments, cows 1 and cow 2 were confined to the stalls for 24 h, and a known quantity of fresh grass was offered. The mass of the unconsumed portion at the end of 24 h was determined. In addition to experimental determination, the daily intake of dry matter was also calculated theoretically, based on the following expression 35,72 : where, DMI is the daily dry matter intake (kg d -1 ).
BWT is the bodyweight of the cow (kg). PBWT is the percentage of cow's body weight to be fed per day (%). For cow 1, BWT was ~ 400 kg, and the corresponding value of PBWT as given in NRC 72 is 2.2%. For Cow 2, these values were ~ 225 kg and 2.2%, respectively.

Results and discussion
Physicochemical properties of soil. As stated previously (section "Introduction"), the extent of uptake of Sr isotopes by plants through roots is strongly affected by a range of physicochemical parameters of the soil and the concentration of the essential nutrient element Ca. In Table 1, the results of some of the physicochemical parameters of the soils, which are relevant for explaining the soil to grass transfer of Sr, are listed. The impor- www.nature.com/scientificreports/ tant observations were (i) the soil is acidic (mean value of pH was ~ 5), (ii) due to low clay content (particle sizes < 2 µm) and a higher percentage of particle sizes of > 2 µm, it belongs to the sand group; when categorized as described in IAEA-TRS-472 10 , (iii) have lower Ca content, an essential plant nutrient element and analogues of Sr, (iv) low CEC, and (v) low organic matter content. These soil parameters are generally responsible for the variation of F v values, both directly and indirectly; hence, knowledge of these parameters is essential to predict the extent of soil-to-grass transfer of radionuclides. Soil pH affects Sr uptake in tropical systems; the bioavailability is generally higher at lower pH values because acidic soils favour the dissolution of Sr isotopes and Ca in the soil. Soil with reduced CEC and lower pH, clay and dissolved concentration of stable nutrient analogues, typical of strongly weathered tropical high rainfall regions such as the pasture lands of Kaiga, may lead to greater bioaccumulation of Sr isotopes 13 . On the other hand, in soils of tropical farms and forests with high organic matter, CEC and Ca content can reduce the bioaccumulation of Sr because of the greater strength of sorption of this element in such soils and preferential uptake of Ca. But, because of the reduced CEC, organic matter and Ca contents, we can infer that for the pasture land soils of the Kaiga region, the F v value of Sr is expected to be higher. Table 2 (column 3) presents the concentration of stable Sr in the soil of grass fields, and it ranged from 0.14 to 64.3 mg kg -1 (GM = 10.2 mg kg -1 ). The ANOVA test confirmed at a 95% confidence level that the concentrations of this element in the soil are not significantly different across the experimental field, pasture lands and dairy farm fields. Previously reported values 70,73 for the Kaiga region are in the range of 0.3-27.3 mg kg -1 , which is similar to the values recorded in our study. The regression analyses revealed  Figure 2 presents the monthly variation of Sr in the grass of the experimental field. Except during the period October-December the concentration remained reasonably uniform. Similar observations were recorded in pasture lands and the dairy farm field. The grass was manually defoliated regularly to feed the cattle in the shed on the dairy farm. On the other hand, the animals defoliated the pasture lands during grazing in the other two categories of fields. According to Ehlken and Kirchner 74 , pasture cropped repeatedly develops a shallow root system leading to enhanced uptake of elements and nutrients from top soil, which may suppress seasonal variations in the concentrations of the above-ground parts. However, it is to be noted that seasonal variations in the uptake would have very little importance in the event of a release from a nuclear facility since direct deposition from the atmosphere is a much more efficient contamination mechanism for anthropogenic radioisotopes of Cs, Sr and I.

Concentration of Sr in soil.
F v values for stable Sr. The F v values of Sr ranged between 0.18-8.6, with a GM value of 1.80 (Table 2, column 5), and they were similar for the experimental field and other pasture lands even though the grass species in these fields differed. The ANOVA test confirmed that the mean values were not significantly different at 95% confidence level, with F obs = 0.024, F 0.05 [1,88] 76 have observed that their values were lower by 1.5-2.8 times and have remarked that most of the IAEA data were derived from pot/ lysimeter experiments using radionuclides or experiments in which equilibrium conditions were not achieved. In this context, the present study has significance because it was performed for field conditions of a tropical monsoonal climatic region for which not many publications on F v values for grass are reported, as discussed in section "Introduction".
The association between the soil parameters and F v has been studied to identify those parameters which influence Sr uptake by the grass. As explained previously, the uptake of Sr is higher in plants grown in the soil with low OM content 8,13 . This is because of the fixation of Sr to the humic substance of the soil 77 . The linear correlation analysis for the data obtained in this study indicated a weak correlation between the two parameters (R = − 0.159, p > 0.05). www.nature.com/scientificreports/ The F v values were weakly correlated with soil clay content (R = -0.13, p > 0.05), soil moisture content (R = -0.092, p > 0.05) and the CEC (R = 0.173, p > 0.05). It must be emphasised here that the physicochemical parameters varied in a narrow range since the study was confined to a small region in the vicinity of a specific NPP site. To delineate the influence of the soil parameters on the transfer of elements to plants, one needs to conduct studies in different types of soils with widely varying physicochemical properties. The Sr F v values were evaluated against the Ca concentration. Although the statistical analysis between the Sr F v values and soil Ca concentration indicated that, in general, the Sr F v increased with the decreasing Ca content in the soil, as evidenced by the negative sign on the correlation coefficient (R = − 0.37, p > 0.05). However, it was not statistically significant. Table 4 presents the stable Sr concentration in milk of the cows raised for this study and the corresponding F m values. The corresponding datasets for cows raised by the villagers and the dairy farm are presented in Table 5. For cow 1 and cow 2, the Sr concentration in the milk had GM values of 0.52 mg L -1 and 0.50 mg L -1 , respectively. These are similar to that recorded for the cows raised by the villagers and the dairy farm (GM values for both categories were the same, 0.45 mg L -1 ). The statistical test (ANOVA) confirmed that the mean values of concentration of the three groups of animals were not significantly different (for example, F obs = 0.506, F 0.05 [1.48]= 4.043 for the datasets of cow 1 and cow 2 and those raised by the villages). The Sr concentration in the milk was monitored for both cow 1 and cow 2 throughout the year, and it remained uniform, as shown in Fig. 3.

Sr concentration in milk.
Anderson 78 reported a value of 0.42 mg L -1 for stable Sr in cow milk, and a value of 0.17 mg L -1 was reported by Hurleyw 79 . As outlined in section "Determination of Sr concentration", the milk analyzed for 90 Sr in the present study showed activity < 0.   Table 4 for the two cows raised for this study. Table 5 present the values for the other two categories of animals. The site-specific data on DMI (8.3 kg d -1 and 3.7 kg d -1 grass for cow 1 and cow 2, respectively, and 1 kg d -1 supplement feed), measured through stall-feeding (section "Determination of DMI" ), were used for F m calculation. The considerable difference in DMI between cow 1 and cow 2 can be related to the significant disparity in their body mass: cow 1 was 400 kg, and cow 2 was 225 kg 12,35 .  Table 4. Stable Sr concentration in grass grown in the experimental field and milk and F m values for the cows raised for the study. a Values within the square bracket represents samples analyzed. b SD represents standard deviation. c GSD represents the geometric standard deviation (unitless). d Sr concentration in the supplement feed was below the detection limit. www.nature.com/scientificreports/ Stall-feeding experiments were not performed with the cows raised by villagers. But, several measurements of the grass intake during the captive period, i.e., after cattle return to the stalls , were performed. For the captive period (18:00 h to 6:00 h), DMI was ~ 3.3 kg d -1 (mean value); this value is similar to the DMI of cow 1 for the captive period. Moreover, the body mass of the cows raised by the villagers was similar to that of cow 1. Hence, the DMI of cow 1 (8.3 kg d -1 grass, dry mass) was used as the representative value for this group. Also, the data obtained from the demographic survey supported the above viewpoint. In the case of dairy farm cattle, the DMI was measured, and the mean value was 13 kg d -1 (8.6 kg of supplement feed + 4.4 kg of grass, dry mass). Analysis of samples of supplement feed showed that the stable Sr concentration was below the detection limit.
The GM values of F m were 2.2 × 10 -3 d L -1 for cow 1 and 7.2 × 10 -3 d L -1 for cow 2 ( Table 4, columns 5 and 8), 2.6 × 10 -3 d L -1 for the cattle raised by the villagers (Table 5, column 5), and 4.2 × 10 -3 d L -1 for the dairy farm cattle (Table 5, column 5). Statistical analysis (ANOVA test) of the F m datasets for cow 1 and cow 2 and those raised by the villagers confirmed that the mean values of the two datasets are not different at a 95% confidence level (F obs = 3.028, F 0.05 [1,28] = 4.196). Hence, we pooled datasets of these two categories of native breed animals to arrive at a representative site-specific F m value for the region. The GM value for the combined dataset was evaluated to be 3.2 × 10 -3 d L -1 . This was similar to the value derived for the dairy farm cattle. Hence, it can be considered the representative value for tropical climatic regions of the Indian subcontinent for radiation dose assessments. Table 5. Stable Sr concentration in pasture land grass and milk of cows raised by the villagers and corresponding F m values. a Values within the square bracket represents samples analyzed. b SD represents standard deviation. c GSD represents the geometric standard deviation (unitless). d DMI by cows raised by the villagers is 8.3 kg d -1 of grass (no supplement diet); for the dairy farm, it is 4.4 kg d -1 of grass + 8.6 kg d -1 of nutrient supplement diet. e Sr concentration in the supplement feed was below the detection limit.   in the IAEA 10 and Howard 12 is presented in Table 6. The majority of the reported values were derived from the high milk yielding dairy farm cows fed with a significantly higher quantity of nutrient-rich supplement feed. The range given in the IAEA 10 from the worldwide published data is 3.4 × 10 -4 -4.3 × 10 -3 with a GM of 1.3 × 10 -3 d L -1 (GSD = 1.7). These were updated to 1.5 × 10 -5 -4.3 × 10 -3 with a GM of 1.3 × 10 -3 d L -1 (GSD = 2.1) in Howard 12 and the IAEA document 52 . Since these two publications have reviewed all the published data in this field, we have listed only these two in Table 6 for comparison. This comparison shows that the data obtained from the present study (3.2 × 10 -3 d L -1 ) is within the data range presented in the IAEA 10,52 , and the mean is of the same order. In a preceding publication 35 , we have reported that F m values of stable and radioactive isotopes of Cs (stable Cs and 137 Cs) for native breed cattle of the Kaiga region were greater by an order of magnitude in comparison with the dairy farm cattle and those published by other investigators, including the value compiled in the IAEA 10 . Possible reasons identified were (i) inadvertent soil ingestion during grazing in the fields as dietary requirements of the cow are met primarily through grazing, and (ii) very low milk yield 35 . However, for Sr, soil ingestion makes no difference to the F m since the F v for grass is greater than unity. In contrast, the F v for Cs isotopes is about 100 times lower. Therefore, soil ingestion will not significantly affect the F m of Sr, unlike Cs 75,84,85 . This is distinctly reflected in the present study; the F m for Sr had the same order of magnitude in all the three categories of cattle studied.

Concentration ratios (CR).
An alternative method for quantifying grass-to-milk transfer is the concentration ratio (CR); expressed in kg L -1 and defined as 10 : The use of CR for field studies has an advantage since the information on DMI is not essential 10 , unlike F m calculation. The DMI depends on the size and age of animals 10,12,86 ; hence, the F m value is expected to vary across the species and individual animals. On the other hand, the variation of CR between and across the species is minimal.
The CR values thus calculated for Sr (Eq. 6) in this study are compared with the data listed in the IAEA 10,52 in Table 7. As expected, the CR values were similar among all the categories of cows studied. This comparison of the results also shows that the values observed in the present study are similar to those listed in the IAEA 10,52 .
Finally, it is important to comment that caution should be exercised on the use of the F v and F m values determined in this study, for environmental equilibrium conditions, to predict the transfer of radioactive Sr isotopes to the food chain during the initial period of a hypothetical emergency situation involving short term excessive release of radioactivity from the nuclear facility. Previous studies 1,87 at Chernobyl have shown that in the vicinity of the NPP, particularly in the area within the 30 km radius zone, the majority of the fallout from the accident was in the form of particles derived from the uranium dioxide fuel (referred to as 'hot particles' or 'fuel particles') with low solubility. It was also reported that more than 90% of the release of 90 Sr was in the form of particles with an average diameter of ~ 10 µm 88 . The predominant mechanism of contamination of grass in such a scenario is dry and wet depositions from the atmosphere. Hence, site-specific studies aimed at establishing a database on interception of dry and wet deposition by grass are essential. Moreover, the migration of 90 Sr deposited on soil in particle form would differ from naturally present stable Sr under equilibrium conditions 1 and therefore developing a database on this aspect for tropical regions is also crucial.